On Viscous Flow in Semi-Elliptic Ducts

The exact series solutions for the laminar flow in a semi-elliptic duct are presented. The present work studies the semi-elliptic duct with the minor axis as the straight wall, which complements that of Alassar and Abushoshah who used the major axis. Properties of the two types of semi-elliptic ducts are given, including the asymptotic Poiseuille numbers.